Graphics for Complex Analysis
contains a nice collection of graphical demonstrations written by Douglas Arnold
(Penn
StateUniversity) of some concepts and mappings in complex analysis.The demos can be viewed in animated GIF or controllable Java applet
format.See
http://www.math.psu.edu/dna/complex-j.html for more details.

Understanding Complex Function Graphsis
a paper written by Tom Banchoff (BrownUniversity) and Davide
Cervone (UnionCollege) and published in
Communications in Visual Mathematics.It offers animations to enhance the understanding of the structure of
complex graphs as four-dimensional surfaces.See
http://www.geom.uiuc.edu/~banchoff/script/CFGInd.html.